Question

differentiate the function. (enter your answer using function notation - use ln(x) instead of ln x.) y = ln ∣1-x−3x^2∣

Answer 1

To differentiate the function y = ln |1-x-3x^2|, use the chain rule and simplify the expression.

Step-by-step explanation:

To differentiate the function y = ln |1-x-3x^2|, we can use the chain rule. Let's break it down step by step:

Step 1: Take the derivative of the function inside the absolute value brackets:

dy/dx = 1/(1-x-3x^2) * (d/dx(1-x-3x^2))

Step 2: Differentiate each term in the expression inside the brackets:

dy/dx = 1/(1-x-3x^2) * (-1 - 6x)

Step 3: Simplify the expression by combining like terms:

dy/dx = (-1 - 6x)/(1-x-3x^2)

So, the derivative of the given function is dy/dx = (-1 - 6x)/(1-x-3x^2).